Use polynomial identities to multiply the expressions ?
$left parenthesis 3 straight x minus 7 right parenthesis squared$

Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.

How can you use polynomial identities to multiply expressions ?
$open parentheses 2 x squared plus y cubed close parentheses squared$

Any expression of the form $left parenthesis a plus b right parenthesis squared$ can be expanded using the identity $left parenthesis a plus b right parenthesis squared equals a squared plus a b plus b squared$ rather than using the conventional and time taking method of multiplying them, $left parenthesis a plus b right parenthesis left parenthesis a plus b right parenthesis$ .

How can you use polynomial identities to multiply expressions ?
$open parentheses 2 x squared plus y cubed close parentheses squared$

Prove the difference of cubes identity : $a cubed minus b cubed equals left parenthesis a minus b right parenthesis open parentheses a squared plus a b plus b squared close parentheses$

To prove an equation to be equal, we have to prove either the RHS is equal to the LHS or vice versa. The side should be selected based on the simplification process.

Prove the difference of cubes identity : $a cubed minus b cubed equals left parenthesis a minus b right parenthesis open parentheses a squared plus a b plus b squared close parentheses$

To prove an equation to be equal, we have to prove either the RHS is equal to the LHS or vice versa. The side should be selected based on the simplification process.

Prove the sum of cubes identity : $a cubed plus b cubed equals left parenthesis a plus b right parenthesis open parentheses a squared minus a b plus b squared close parentheses$

To prove an equation to be equal, we have to prove either the RHS is equal to the LHS or vice versa. The side should be selected based on the simplification process.

Prove the sum of cubes identity : $a cubed plus b cubed equals left parenthesis a plus b right parenthesis open parentheses a squared minus a b plus b squared close parentheses$

To prove an equation to be equal, we have to prove either the RHS is equal to the LHS or vice versa. The side should be selected based on the simplification process.

How can you use polynomial identities to multiply expressions ?
$open parentheses 2 x squared plus y cubed close parentheses squared$

Use polynomial identities to multiply the expressions ?
$left parenthesis x plus 6 right parenthesis squared$

Use polynomial identities to multiply the expressions ?
$left parenthesis x minus 9 right parenthesis left parenthesis x minus 9 right parenthesis$

Prove the polynomial identity $x to the power of 4 minus y to the power of 4 equals left parenthesis x minus y right parenthesis left parenthesis x plus y right parenthesis open parentheses x squared plus y squared close parentheses$

Prove the difference of cubes identity :
$a cubed minus b cubed equals left parenthesis a minus b right parenthesis open parentheses a squared plus a b plus b squared close parentheses$

How could you use polynomial identities to factor the expression $x to the power of 6 minus y to the power of 6$ .

Prove the sum of cubes identity :
$a cubed plus b cubed equals left parenthesis a plus b right parenthesis open parentheses a squared minus a b plus b squared close parentheses$

After diluting salt water, the concentration of salt in the water is given by the function $f left parenthesis x right parenthesis equals fraction numerator 0.5 x over denominator x squared minus 1 end fraction$ , where x is the time in hours since the dilution.
b. After how many hours will the concentration of salt in the water be ?Round to the nearest hundredth.

Which function has a graph with a vertical asymptote at x = 3? Select all that apply .

Which function has a graph with a horizontal asymptote at y = -1.

After diluting salt water, the concentration of salt in the water is given by the function $f left parenthesis x right parenthesis equals fraction numerator 0.5 x over denominator x squared minus 1 end fraction$ , where x is the time in hours since the dilution .
a. What is the concentration of salt in the water after 4 hours?